76816 ÷ 9 = 8535 R1
Alright, let's work through the division of 76816 by 9 step by step.

Step 1:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 7 to get 7.
Bring next digit (6) of the dividend behind the 7 and repeat the process: 76 / 9

Step 2:
9 goes into 76 8 times with a remainder of 4.
Write down 8 as next digit of of the result. 
Result so far: 8
Subtract 72 from 76 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 9

Step 3:
9 goes into 48 5 times with a remainder of 3.
Write down 5 as next digit of of the result. 
Result so far: 85
Subtract 45 from 48 to get 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 9

Step 4:
9 goes into 31 3 times with a remainder of 4.
Write down 3 as next digit of of the result. 
Result so far: 853
Subtract 27 from 31 to get 4.
Bring next digit (6) of the dividend behind the 4 and repeat the process: 46 / 9

Step 5:
9 goes into 46 5 times with a remainder of 1.
Write down 5 as next digit of of the result. 
Result so far: 8535
Subtract 45 from 46 to get 1.

The final result is 8535 with a remainder of 1.